Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

Subclass of harmonic univalent functions associated with the derivative operator

Sayfa
47–58
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we obtain coefficient conditions, convolution conditions, convex combina- tions, extreme points and some other properties.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present paper, we introduce a new subclass of harmonic func- tions in the unit disc U by using the derivative operator.
📊
Temel Bulgular & Veri:In the present paper, we introduce a new subclass of harmonic func- tions in the unit disc U by using the derivative operator.
💡
Sonuç & Katkı:Also, we obtain coefficient conditions, convolution conditions, convex combina- tions, extreme points and some other properties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the present paper, we introduce a new subclass of harmonic func- tions in the unit disc U by using the derivative operator. Also, we obtain coefficient conditions, convolution conditions, convex combina- tions, extreme points and some other properties.

🔖

Bu Makaleye Atıf Yap

PATHAK, A. L., AGARWAL, R., JOSHI, S., DWIVEDI, P. (2022). Subclass of harmonic univalent functions associated with the derivative operator. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 47–58. https://ajindex.com/articles/530472

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. Ahuja, O. P. Planar harmonic univalent and related mappings, J. Inequal. Pure Appl. Math. 6(4), Art. 122, 1-18, 2005
  2. Al-Shaqsi, K. and Darus, M. On harmonic functions defined by derivative operator, Journal of Inequalities and Applications, Art. ID 263413, 1-10, 2008
  3. Al-Shaqsi, K. and Darus, M. An operator defined by convolution involving the polyloga-rithms functions, Journal of Math, and Stat. 4(1), 46-50, 2008
  4. Clunie, J. and Sheil-Small, T. Harmonic univalent functions, Ann. Acad. Sci. Fen. Series AI Math. 9 (3), 3-25, 1984
  5. Duren, P. Harmonic Mappings in the Plane (Cambridge Univ. Press, Cambridge, UK, 2004)
  6. Jahangiri, J. M. Harmonic functions starlike in the unit disc, J. Math. Anal. Appl. 235, 470-477, 1999
  7. Jahangiri, J. M., Murugusundaramoorthy, G. and Vijaya, K. Salagean-type harmonic univalent functions, Southwest J. Pure Appl. Math. 2, 77-82, 2002
  8. Murugusundaramoorthy, G. and Vijaya, K. On certain classes of harmonic univalent functions involving Ruscheweyh derivatives, Bull. Cal. Math. Soc. 96(2), 99-108, 2004
  9. Ponnusamy, S. and Rasila, A. Planar harmonic mappings, RMS Mathematics Newsletter 17(2) (2007), 40-57, 2007
  10. Rosy, T., Stephen, B. A., Subramanian, K. G. and Jahangiri, J.M. Goodman-Ronning-type harmonic univalent functions, Kyungpook Math. J. 41 (1), 45-54, 2001
  11. Ruscheweyh, S. Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81, 521-528, 1981
  12. Ruscheweyh, S. Convolutions in Geometric Function Theory (Les Presses de I Üniversite de Montreal, 1982)
  13. Sheil-Small, T. Constants for planar harmonic mappings, J. London Math. Soc. 2(42), 237-248, 1990
  14. Silverman, H. Harmonic univalent functions with negative coefficients, J. Math. Anal. Appl. 220, 283-289, 1998
  15. Silverman, H. and Silvia, E. M. Subclasses of harmonic univalent functions, New Zealand J. Math. 28, 275-284, 1999
  16. Srivastava, H. M. and Owa, S. Current Topics in Analytic Function Theory (World Scientific Publishing Company, Singapore, 1992).